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Finding the Third Proportional to 924,890,491.50 and 2,158,152,394.50

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Solution

The third proportional to 924,890,491.50 and 2,158,152,394.50 is: 5,035,862,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,890,491.50 : 2,158,152,394.50 = 2,158,152,394.50 : x
  2. Step 2: Convert to fraction form
    924,890,491.50/2,158,152,394.50 = 2,158,152,394.50/x
  3. Step 3: Cross multiply
    924,890,491.50x = 2,158,152,394.50 × 2,158,152,394.50
  4. Step 4: Simplify right side
    924,890,491.50x = 4,657,621,757,886,084,096
  5. Step 5: Solve for x
    x = 4,657,621,757,886,084,096/924,890,491.50
  6. Step 6: Final answer
    x = 5,035,862,948.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.